From Wikipedia, the free encyclopedia
Theta function can refer to
the Jacobi theta function
ϑ
(
z
;
τ
)
{\displaystyle \vartheta (z;\tau )}
the q-theta function
θ
(
z
;
q
)
{\displaystyle \theta (z;q)}
the Riemann–Siegel theta function
θ
(
t
)
{\displaystyle \theta (t)}
the Ramanujan theta function
f
(
a
,
b
)
{\displaystyle f(a,b)}
Ramanujan's mock theta functions
μ
(
q
)
,
f
(
q
)
,
ϕ
(
q
)
,
ψ
(
q
)
,
χ
(
q
)
{\displaystyle \mu (q),f(q),\phi (q),\psi (q),\chi (q)}
, etc., see Mock modular form
the Chebyshev function
ϑ
(
x
)
{\displaystyle \vartheta (x)}
the Riemann theta function
H
n
{\displaystyle \mathbb {H} _{n}}
Feferman's function
θ
α
(
β
)
{\displaystyle \theta _{\alpha }(\beta )}
, see Ordinal notation
the E8 theta function
Θ
Λ
(
τ
)
{\displaystyle \Theta _{\Lambda }(\tau )}
, see E8 lattice#Theta function